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Finding the Third Proportional to 32,736 and 49,050

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Solution

The third proportional to 32,736 and 49,050 is: 73,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,736 : 49,050 = 49,050 : x
  2. Step 2: Convert to fraction form
    32,736/49,050 = 49,050/x
  3. Step 3: Cross multiply
    32,736x = 49,050 × 49,050
  4. Step 4: Simplify right side
    32,736x = 2,405,902,500
  5. Step 5: Solve for x
    x = 2,405,902,500/32,736
  6. Step 6: Final answer
    x = 73,494.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.